Viviani's Curve
The Space Curve giving the intersection of the Cylinder
 | (1) |
 | (2) |
 |  |  | (3) |
 | |  | (4) |
 | |  | (5) |
The Curvature and Torsion are given by
 | |  | (6) |
 | |  | (7) |
See also Cylinder, Sphere, Steinmetz Solid
References
Gray, A. ``Viviani's Curve.'' §7.6 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 140-142, 1993. von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 270, 1993.
- Real Part
- Real Polynomial
- Real Projective Plane
- Real Quadratic Field
- Rearrangement Theorem
- Reciprocal
- Reciprocal Difference
- Reciprocal Polyhedron
- Reciprocating Sphere
- Reciprocation
- Reciprocity Theorem
- Rectangle
- Rectangle Function
- Rectangle Squaring
- Rectangular Coordinates
- Rectangular Distribution
- Rectangular Hyperbola
- Rectangular Parallelepiped
- Rectangular Projection
- Rectifiable Current
- Rectifiable Set
- Rectification
- Rectifying Latitude
- Rectifying Plane
- Recurrence Relation